72411201460320 has 192 divisors, whose sum is σ = 229311597715200. Its totient is φ = 19206735464448.

The previous prime is 72411201460319. The next prime is 72411201460349. The reversal of 72411201460320 is 2306410211427.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378428031 + ... + 378619329.

It is an arithmetic number, because the mean of its divisors is an integer number (1194331238100).

Almost surely, 2^{72411201460320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72411201460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114655798857600).

72411201460320 is an abundant number, since it is smaller than the sum of its proper divisors (156900396254880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72411201460320 is a wasteful number, since it uses less digits than its factorization.

72411201460320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195517 (or 195509 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 72411201460320 its reverse (2306410211427), we get a palindrome (74717611671747).

The spelling of 72411201460320 in words is "seventy-two trillion, four hundred eleven billion, two hundred one million, four hundred sixty thousand, three hundred twenty".